𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the relationship between Nash—Cournot and Wardrop equilibria

✍ Scribed by A. Haurie; P. Marcotte

Publisher
John Wiley and Sons
Year
1985
Tongue
English
Weight
568 KB
Volume
15
Category
Article
ISSN
0028-3045

No coin nor oath required. For personal study only.

✦ Synopsis

A noncooperative game is formulated on a transportation network with congestion. The players are associated with origin-destination pairs, and are facing demand functions at their respective destination nodes. A Nash-Cournot equilibrium is defined and conditions for existence and uniqueness of this solution are provided. The asymptotic behavior of the Nash-Cournot equilibrium is then shown to yield (under appropriate assumptions) a total flow vector corresponding to a Wardrop equilibrium.

📜 SIMILAR VOLUMES

On the relationship between dynamic Nash
On the relationship between dynamic Nash and instantaneous user equilibria
✍ Wie, Byung-Wook; Tobin, Roger L. 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 378 KB 👁 1 views

The problem of a dynamic Nash equilibrium traffic assignment with schedule delays on congested networks is formulated as an N-person nonzero-sum differential game in which each player represents an origin-destination pair. Optimality conditions are derived using a Nash equilibrium solution concept i

The Relationships Between Equilibria and
The Relationships Between Equilibria and Positive Solutions of Certain Nonlinear Elliptic Systems
✍ Lige Li; Guoxiang Cao; Yaping Liu 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 344 KB

Let M u, ¨s 0, N u, ¨s 0 define two distinct phase curves ⌫ , ⌫ in the 1 2 Ž . u,¨-phase plane. This paper presents results on the relationships among the positive equilibria, the phase curves, and the existence of positive solutions to the PDE system ⌬ u q uM u, ¨s 0, ⌬¨q ¨N u, ¨s 0 in ⍀;R n Ž . Ž

On the relationship between hydrographs
On the relationship between hydrographs and chemographs
✍ Andreas Kurtenbach; Steffen Möller; Andreas Krein; Wolfhard Symader 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 315 KB

## Abstract The spatial representativeness of gauging stations was investigated in two low‐mountainous river basins near the city of Trier, southwest Germany. Longitudinal profiles during low and high flow conditions were sampled in order to identify sources of solutes and to characterize the alter

Parabolic relationship between free ener
Parabolic relationship between free energies of comformational and isomerizational equilibria and the polarity of solvents
✍ Nikolai S. Zefirov; Vyacheslav V. Samoshin 📂 Article 📅 1981 🏛 Elsevier Science 🌐 French ⚖ 246 KB

The empirical parabolic function is devised for the determination ofAGo values in the solvents of various polarity and in vapour phase. Numerous investigations have shown that the solvent effect on conformational equilibria is often much more important than the intramolecular interactions lv2. Hence

On the relationship between divorce and
On the relationship between divorce and rheumatoid arthritis
✍ Sidney Cobb; Martha Miller; Martha Wieland 📂 Article 📅 1959 🏛 John Wiley and Sons 🌐 English ⚖ 286 KB 👁 2 views

The hypothesis of suppressed hostility as a factor in rheumatoid arthritis is supported by the finding that rheumatoid arthritics are more liable to divorce, but put up with an unsatisfactory marriage longer than those who are free of the disease. This is more striking for males than for females. L